Yes, get a scooter if you're commuting. So much easier to get through the traffic and more storage space.
That is a massive assumption. The OP has already indicated a preference for speed, and a scooter isn't going to give him that.
The commute distance is unknown. If it was 1 mile, the scooter justification could come into it, but even then it is dubious. As an example, I commute around 4 miles to work every day. I've done it on a scooter, a 125 and my current bike, a 650. The scooter's quickest journey was 14 minutes; the 125 9 minutes and the 650 7 minutes. I've found it a close run thing between the 125 and the 650 on average, but with the maximum speeds availabe on the route being 40 and 30, there isn't a contest between the bike and the scooter. Storage is moot without any additional information.
As for performance, at the discussed level, a 2 stroke will always win the day. I used to have a Speedfight 2, and you could get 55 mph out of it on a level surface. In comparison, my 'old' Varadero 125 (4 stroke) would be beaten by other 125 2 stroke machines.
It will come down to budget and what you ultimately want. If you want to ride, you'll go through your test, and get the right bigger bike for you. If you want to stick on a 125, you'll do the same and if you want speed, you'll end up on a 2 stroke.
If you want to stick on a scooter because you want to put your lid under the seat, you'll end up with a scooter.